13513728664224000
13,513,728,664,224,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13513728664224000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
13513728664224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13513728664224000:
28 × 32 × 53 × 31 × 47 × 32204989
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 47 × 32204989)See below for interesting mathematical facts about the number 13513728664224000 from the Numbermatics database.
Names of 13513728664224000
- Cardinal: 13513728664224000 can be written as Thirteen quadrillion, five hundred thirteen trillion, seven hundred twenty-eight billion, six hundred sixty-four million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3513728664224 × 1016
Factors of 13513728664224000
Divisors of 13513728664224000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 47 48 50 60 62 64 72 75 80 90 93 94 96 100 120 124 125 128 141 144 150 155 160 180 186 188 192 200 225 235 240 248 250 256 279 282 288 300 310 320 360 372 375 376 384 400 423 450 465 470 480 496 500 558 564 576 600 620 640 705 720 744 750 752 768 775 800 846 900 930 940 960 992 1000 1116 1125 1128 1152 1175 1200 1240 1280 1395 1410 1440 1457 1488 1500 1504 1550 1600 1692 1800 1860 1880 1920 1984 2000 2115 2232 2250 2256 2304 2325 2350 2400 2480 2790 2820 2880 2914 2976 3000 3008 3100 3200 3384 3525 3600 3720 3760 3840 3875 3968 4000 4230 4371 4464 4500 4512 4650 4700 4800 4960 5580 5640 5760 5828 5875 5952 6000 6016 6200 6400 6768 6975 7050 7200 7285 7440 7520 7750 7936 8000 8460 8742 8928 9000 9024 9300 9400 9600 9920 10575 11160 11280 11520 11625 11656 11750 11904 12000 12032 12400 13113 13536 13950 14100 14400 14570 14880 15040 15500 16000 16920 17484 17625 17856 18000 18048 18600 18800 19200 19840 21150 21855 22320 22560 23250 23312 23500 23808 24000 24800 26226 27072 27900 28200 28800 29140 29760 30080 31000 32000 33840 34875 34968 35250 35712 36000 36096 36425 37200 37600 39680 42300 43710 44640 45120 46500 46624 47000 48000 49600 52452 52875 54144 55800 56400 57600 58280 59520 60160 62000 65565 67680 69750 69936 70500 71424 72000 72850 74400 75200 84600 87420 89280 90240 93000 93248 94000 96000 99200 104904 105750 108288 109275 111600 112800 116560 119040 124000 131130 135360 139500 139872 141000 144000 145700 148800 150400 169200 174840 178560 180480 182125 186000 186496 188000 198400 209808 211500 218550 223200 225600 233120 248000 262260 270720 279000 279744 282000 288000 291400 297600 300800 327825 338400 349680 357120 364250 372000 372992 376000 419616 423000 437100 446400 451200 466240 496000 524520 541440 546375 558000 559488 564000 582800 595200 655650 676800 699360 728500 744000 752000 839232 846000 874200 892800 902400 932480 992000 1049040 1092750 1116000 1118976 1128000 1165600 1311300 1353600 1398720 1457000 1488000 1504000 1639125 1678464 1692000 1748400 1785600 1864960 2098080 2185500 2232000 2256000 2331200 2622600 2707200 2797440 2914000 2976000 3278250 3356928 3384000 3496800 4196160 4371000 4464000 4512000 4662400 5245200 5594880 5828000 6556500 6768000 6993600 8392320 8742000 8928000 9324800 10490400 11656000 13113000 13536000 13987200 16784640 17484000 20980800 23312000 26226000 27974400 32204989 34968000 41961600 46624000 52452000 64409978 69936000 83923200 96614967 104904000 128819956 139872000 161024945 193229934 209808000 257639912 289844901 322049890 386459868 419616000 483074835 515279824 579689802 644099780 772919736 805124725 966149670 998354659 1030559648 1159379604 1288199560 1449224505 1513634483 1545839472 1610249450 1932299340 1996709318 2061119296 2318759208 2415374175 2576399120 2898449010 2995063977 3027268966 3091678944 3220498900 3864598680 3993418636 4025623625 4122238592 4540903449 4637518416 4830748350 4991773295 5152798240 5796898020 5990127954 6054537932 6183357888 6440997800 7246122525 7568172415 7729197360 7986837272 8051247250 8244477184 8985191931 9081806898 9275036832 9661496700 9983546590 10305596480 11593796040 11980255908 12076870875 12109075864 12366715776 12881995600 13622710347 14492245050 14975319885 15136344830 15458394720 15973674544 16102494500 17970383862 18163613796 18550073664 19322993400 19967093180 20611192960 22704517245 23187592080 23960511816 24153741750 24218151728 24733431552 24958866475 25763991200 27245420694 28984490100 29950639770 30272689660 30916789440 31947349088 32204989000 35940767724 36230612625 36327227592 37100147328 37840862075 38645986800 39934186360 41222385920 44925959655 45409034490 46375184160 46922668973 47921023632 48307483500 48436303456 49917732950 51527982400 54490841388 57968980200 59901279540 60545379320 61833578880 63894698176 64409978000 68113551735 71881535448 72461225250 72654455184 74200294656 74876599425 75681724150 77291973600 79868372720 89851919310 90818068980 92750368320 93845337946 95842047264 96614967000 96872606912 99835465900 103055964800 108981682776 113522586225 115937960400 119802559080 121090758640 123667157760 124794332375 127789396352 128819956000 136227103470 140768006919 143763070896 144922450500 145308910368 149753198850 151363448300 154583947200 159736745440 179703838620 181636137960 185500736640 187690675892 189204310375 191684094528 193229934000 193745213824 199670931800 206111929600 217963365552 224629798275 227045172450 231875920800 234613344865 239605118160 242181517280 249588664750 255578792704 257639912000 272454206940 281536013838 287526141792 289844901000 290617820736 299506397700 302726896600 309167894400 319473490880 340567758675 359407677240 363272275920 371001473280 374382997125 375381351784 378408620750 383368189056 386459868000 387490427648 399341863600 422304020757 435926731104 449259596550 454090344900 463751841600 469226689730 479210236320 484363034560 499177329500 515279824000 544908413880 563072027676 567612931125 575052283584 579689802000 581235641472 599012795400 605453793200 618335788800 638946981760 681135517350 703840034595 718815354480 726544551840 748765994250 750762703568 756817241500 766736378112 772919736000 798683727200 844608041514 871853462208 898519193100 908180689800 927503683200 938453379460 958420472640 968726069120 998354659000 1030559648000 1089816827760 1123148991375 1126144055352 1135225862250 1150104567168 1159379604000 1162471282944 1173066724325 1198025590800 1210907586400 1277893963520 1362271034700 1407680069190 1437630708960 1453089103680 1497531988500 1501525407136 1513634483000 1545839472000 1597367454400 1689216083028 1702838793375 1743706924416 1797038386200 1816361379600 1855007366400 1876906758920 1916840945280 1937452138240 1996709318000 2111520103785 2179633655520 2246297982750 2252288110704 2270451724500 2300209134336 2318759208000 2346133448650 2396051181600 2421815172800 2724542069400 2815360138380 2875261417920 2906178207360 2995063977000 3003050814272 3027268966000 3091678944000 3194734908800 3378432166056 3405677586750 3487413848832 3519200172975 3594076772400 3632722759200 3753813517840 3833681890560 3993418636000 4223040207570 4359267311040 4492595965500 4504576221408 4540903449000 4637518416000 4692266897300 4792102363200 4843630345600 5449084138800 5630720276760 5750522835840 5812356414720 5865333621625 5990127954000 6006101628544 6054537932000 6389469817600 6756864332112 6811355173500 7038400345950 7188153544800 7265445518400 7507627035680 7986837272000 8446080415140 8718534622080 8985191931000 9009152442816 9081806898000 9275036832000 9384533794600 9584204726400 9687260691200 10557600518925 10898168277600 11261440553520 11501045671680 11730667243250 11980255908000 12012203257088 12109075864000 13513728664224 13622710347000 14076800691900 14376307089600 14530891036800 15015254071360 15973674544000 16892160830280 17437069244160 17596000864875 17970383862000 18018304885632 18163613796000 18769067589200 19168409452800 21115201037850 21796336555200 22522881107040 23461334486500 23960511816000 24218151728000 27027457328448 27245420694000 28153601383800 28752614179200 29061782073600 30030508142720 31947349088000 33784321660560 35192001729750 35940767724000 36036609771264 36327227592000 37538135178400 42230402075700 43592673110400 45045762214080 46922668973000 47921023632000 48436303456000 52788002594625 54054914656896 54490841388000 56307202767600 57505228358400 60061016285440 67568643321120 70384003459500 71881535448000 72654455184000 75076270356800 84460804151400 87185346220800 90091524428160 93845337946000 95842047264000 105576005189250 108109829313792 108981682776000 112614405535200 135137286642240 140768006919000 143763070896000 145308910368000 150152540713600 168921608302800 180183048856320 187690675892000 211152010378500 217963365552000 225228811070400 270274573284480 281536013838000 287526141792000 300305081427200 337843216605600 375381351784000 422304020757000 435926731104000 450457622140800 540549146568960 563072027676000 675686433211200 750762703568000 844608041514000 900915244281600 1126144055352000 1351372866422400 1501525407136000 1689216083028000 2252288110704000 2702745732844800 3378432166056000 4504576221408000 6756864332112000 13513728664224000
- Sum of all divisors σ(n): 51262907561349120
- Sum of proper divisors (its aliquot sum) s(n): 37749178897125120
- 13513728664224000 is an abundant number, because the sum of its proper divisors (37749178897125120) is greater than itself. Its abundance is 24235450232901120
Bases of 13513728664224000
- Binary: 1100000000001010101010001001001001111101000001000000002
- Hexadecimal: 0x3002AA249F4100
- Base-36: 3P27T8SJLS0
Squares and roots of 13513728664224000
- 13513728664224000 squared (135137286642240002) is 182620862410269375337522176000000
- 13513728664224000 cubed (135137286642240003) is 2467888783038964458639948444622457831424000000000
-
The
square root of 13513728664224000 is 116248564.1383324783 -
The
cube root of 13513728664224000 is 238190.8448798967
Scales and comparisons
How big is 13513728664224000?- 13,513,728,664,224,000 seconds is equal to 429,694,770 years, 42 weeks, 2 days, 16 hours.
-
To count from 1 to 13,513,728,664,224,000 would take you about one billion, two hundred eighty-nine million, eighty-four thousand, three hundred twelve years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13513728664224000 cubic inches would be around 19849.2 feet tall.
Recreational maths with 13513728664224000
- 13513728664224000 backwards is 00042246682731531
- The number of decimal digits it has is: 17
- The sum of 13513728664224000's digits is 54
- More coming soon!
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The information we have on file for 13513728664224000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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